Q150 / 180 · KCET 2014 · Physics

What is the energy of the electron revolving in third orbit expressed in \( \mathrm{eV} \) ?

Correct answer
A
\( 1.51 \mathrm{eV} \)
B
\( 3.4 \mathrm{eV} \)
C
(4.53 eV
D
O \( 4 \mathrm{eV} \)

Solution

We know that, energy of electron revolving in \( n^{\text {th }} \) orbit is given as
\( E_{n}=\frac{-13.6}{n^{2}} \)
For third orbit, \( n=3 \),
\( E_{3}=\frac{-13.6}{3^{2}}=\frac{-13.6}{9}=-1.5111 \mathrm{eV} \)
Therefore, energy of electron revolving in third orbit is \( 1.51 \mathrm{eV} \)

Hence, the correct answer is option: 'A'.

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